"( ╹3╹)(oᴥoU)" is an emoticon that combines two different dog faces. The first part "( ╹3╹)" represents a cute, shy-looking dog face, while the second part "(oᴥoU)" represents a more confident and playful-looking dog face. It can be interpreted as a representation of a dog with a mix of personalities or moods. "My lovely inu" emote likely refers to the same emoticon, but with a specific name or context associated with it.